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Finding the Fourth Proportional to 5,285.61, 7,927.95 and 3,205

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Solution

The fourth proportional to 5,285.61, 7,927.95 and 3,205 is: 4,807.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.61 : 7,927.95 = 3,205 : x
  2. Step 2: Convert to fraction form
    5,285.61/7,927.95 = 3,205/x
  3. Step 3: Cross multiply
    5,285.61x = 7,927.95 × 3,205
  4. Step 4: Simplify right side
    5,285.61x = 25,409,079.75
  5. Step 5: Solve for x
    x = 25,409,079.75/5,285.61
  6. Step 6: Final answer
    x = 4,807.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.